Question

the length of a rectangle is 3 units shorter than one-third of the width, x. enter an expression in the box that represents the perimeter of the rectangle. note: use one variable and a fraction in the answer.

Answer 1

The perimeter of the rectangle with a width x and a length of x/3 - 3 is expressed as 8x/3 - 6.

Step-by-step explanation:

To express the perimeter of a rectangle described by the condition that its length is 3 units shorter than one-third of its width, x, we can use the perimeter formula for a rectangle: Perimeter = 2(length + width).

If we let x represent the width of the rectangle, the length would be represented as x/3 - 3 (since it is said to be 3 units short of one-third of the width).

So, the expression for the perimeter, using the variable x, would be:

Perimeter = 2((x/3 - 3) + x)
= 2(x/3 + x - 3)
= 2(x + 3x/3 - 3)
= 2(4x/3 - 3)
= 8x/3 - 6

Answer 2

Width of the rectangle = x
Length of the rectangle = (x/3) - 3
Perimeter of the rectangle = 2 (Length + width)
= 2[(x/3) - 3 + x]
= 2[ (x - 9 + 3x)/3]
= 2[(4x - 9)/3]
= (8x - 18)/3
I hope the procedure is clear enough for you to understand and the answer has actually come to your desired help.